Choice of the scaling factor in a marching-on-in-degree time domain technique based on the associated laguerre functions

Zicong Mei, Yu Zhang, Xunwang Zhao, Baek Ho Jung, Tapan Kumar Sarkar, Magdalena Salazar-Palma

Research output: Contribution to journalArticle

15 Scopus citations


In marching-on-in-degree time domain method of moment, the transient responses are often expanded by a finite number of associated Laguerre functions. There is an error associated in truncating the associated Laguerre function series beyond that what is necessary in the solution process. This error is related to the scaling factor used in the argument of the associated Laguerre functions that actually approximates the unknown temporal variations. A least upper bound of this error is deduced. Based on this bound, one can obtain an optimum scaling factor to minimize this error so that it is guaranteed to be below a certain bound.

Original languageEnglish (US)
Article number6231667
Pages (from-to)4463-4468
Number of pages6
JournalIEEE Transactions on Antennas and Propagation
Issue number9
StatePublished - 2012



  • Laguerre polynomial
  • marching-on-in-degree
  • scaling factor
  • time domain method of moment

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

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